For the following phase-shifted sinusoids what are the corresponding timeshifts (in seconds).
For the following phase-shifted sinusoids what are the corresponding timeshifts (in seconds). x,(t)-cos 880t " x20-2.5...
EENG22S HOMEWORK III Q1. a) Find the phases corresponding to the following sinusoids (in parts in and iv. caly one phasor for each case should be calculated) i. 40) 20-50) -10-50) im. 5,0)=15x21-50)-200x2+40) iv. 0-10-20 ) 15cf620) b) Find the sinusoids corresponding to the following phasors i. I--30+40 3rds 1.-30-40 rad's V. li Q2. In the circuit shown, the amplitude of the voltage across the resistor is 5 V in the steady-state. Find the amplitude of the voltage across the...
9.29 Use phasors to express the following equations as single sinusoids. a. v(t) - -200 cos(2T60t - 30) 300 sin(2T60t + 120°) V b. v(t) - -50 sin(2T60t - 60°) 40 sin(2700t-1200) V
Consider the oscillator position x=2 cos(2π t), where time t is measured in seconds. What is the value of x at time t=0.5 seconds?
What is the fundamental period of the function s(t)=cos(2π10t)+cos(2π20t) in seconds (if t is measures in seconds) ?
1. (i) In a circuit, the voltage is given by: Vs (t) 12 cos(50t10) V (a) What is the amplitude of the voltage? (b) What is the phase of the voltage? (c) What is the angular frequency (radians/sec.) of the voltage? (d) What is the frequency (in cycles/sec.) of the voltage? (e) Determine vs (t) at time t 2.5ms (ii) Given v1(t)cos(50t 50°) V and v2(t) 12 sin(50t 10°) V, determine the phase angle between the two sinusoids and determine...
2. Consider the random process x(t) defined by x(t) a cos(wt + 6).where w and a are constants, and 0 is a random variable uniformly distributed in the range (-T, ) Sketch the ensemble (sample functions) representing x(t). (2.5 points). a. b. Find the mean and variance of the random variable 0. (2.5 points). Find the mean of x(t), m (t) E(x(t)). (2.5 points). c. d. Find the autocorrelation of x(t), R (t,, t) = E(x, (t)x2 (t)). (5 points)....
The function y(x, t) = (18.0 cm) cos(TX-27mt), with x in meters and t in seconds, describes a wave on a taut string, what is the transverse speed for a point on the string at an instant when that point has the displacement y = +15.0 cm?
The displacement of an oscillating mechanism (in m) at any time (t seconds) is given by 2.1 y-cos(t-0.6). (a) For this situation, state (with correct unit) the following: Amplitude: Period: Frequency: Phase angle: Curve start time: (b) Draw a graph of the above function for one cycle. The displacement of an oscillating mechanism (in m) at any time (t seconds) is given by 2.1 y-cos(t-0.6). (a) For this situation, state (with correct unit) the following: Amplitude: Period: Frequency: Phase angle:...
The position of a simple harmonic oscillatot is given by x(t)=(3.5m)cos(7.73nt) where t is in seconds. What is the magnitude of the maximum velocity of this oscillator?
Please answer the A,b, and C in clear handwriting. Consider the following cases involving sinusoids: (a) 3.3 Find the Laplace transform of r(t) = sin(2n)[u(I)-a(1-1)I and its region of convergence. Carefully plot yt). Determine the region of convergence of Y(s) (b) A very smooth pulse, called the raised cosine, is x(t) = 1-cos( 2π 1), O 1 1, and zero elsewhere. Find its Laplace transform and its corresponding region of convergence. (c) Indicate three possible approaches to finding the Laplace...